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We address the problem of analyzing sets of noisy time-varying signals that all report on the same process but confound straightforward analyses due to complex inter-signal heterogeneities and measurement artifacts. In particular we…

We propose a framework to model the distribution of sequential data coming from a set of entities connected in a graph with a known topology. The method is based on a mixture of shared hidden Markov models (HMMs), which are jointly trained…

Machine Learning · Computer Science 2019-04-02 Diogo Pernes , Jaime S. Cardoso

Hidden Markov models (HMMs) are powerful tools for analysing time series data that depend on discrete underlying but unobserved states. As such, they have gained prominence across numerous empirical disciplines, in particular ecology,…

Methodology · Statistics 2026-03-19 Jan-Ole Fischer

Logical hidden Markov models (LOHMMs) upgrade traditional hidden Markov models to deal with sequences of structured symbols in the form of logical atoms, rather than flat characters. This note formally introduces LOHMMs and presents…

Artificial Intelligence · Computer Science 2011-09-13 L. De Raedt , K. Kersting , T. Raiko

Recommender systems help users find relevant items of interest based on the past preferences of those users. In many domains, however, the tastes and preferences of users change over time due to a variety of factors and recommender systems…

Information Retrieval · Computer Science 2018-10-02 Farzad Eskandanian , Bamshad Mobasher

We consider a class of filtering problems for large populations where each individual is modeled by the same hidden Markov model (HMM). In this paper, we focus on aggregate inference problems in HMMs with discrete state space and continuous…

Machine Learning · Statistics 2020-11-09 Qinsheng Zhang , Rahul Singh , Yongxin Chen

Nature, as far as we know, evolves continuously through space and time. Yet the ubiquitous hidden Markov model (HMM)--originally developed for discrete time and space analysis in natural language processing--remains a central tool in…

Biomolecules · Quantitative Biology 2025-06-09 Max Schweiger , Ayush Saurabh , Steve Pressé

Variable order sequence modeling is an important problem in artificial and natural intelligence. While overcomplete Hidden Markov Models (HMMs), in theory, have the capacity to represent long-term temporal structure, they often fail to…

The Hidden Markov Model (HMM) is one of the most widely used statistical models for sequential data analysis. One of the key reasons for this versatility is the ability of HMM to deal with missing data. However, standard HMM learning…

Machine Learning · Statistics 2023-07-04 Binyamin Perets , Mark Kozdoba , Shie Mannor

Round-Trip Times are one of the most commonly collected performance metrics in computer networks. Measurement platforms such as RIPE Atlas provide researchers and network operators with an unprecedented amount of historical Internet delay…

Networking and Internet Architecture · Computer Science 2019-10-29 Maxime Mouchet , Sandrine Vaton , Thierry Chonavel , Emile Aben , Jasper den Hertog

We are interested in assessing the order of a finite-state Hidden Markov Model (HMM) with the only two assumptions that the transition matrix of the latent Markov chain has full rank and that the density functions of the emission…

Statistics Theory · Mathematics 2023-11-29 Marie Du Roy de Chaumaray , Salima El Kolei , Marie-Pierre Etienne , Matthieu Marbac

We introduce PyHHMM, an object-oriented open-source Python implementation of Heterogeneous-Hidden Markov Models (HHMMs). In addition to HMM's basic core functionalities, such as different initialization algorithms and classical observations…

Mathematical Software · Computer Science 2022-01-19 Fernando Moreno-Pino , Emese Sükei , Pablo M. Olmos , Antonio Artés-Rodríguez

We propose DenseHMM - a modification of Hidden Markov Models (HMMs) that allows to learn dense representations of both the hidden states and the observables. Compared to the standard HMM, transition probabilities are not atomic but composed…

Machine Learning · Computer Science 2020-12-18 Joachim Sicking , Maximilian Pintz , Maram Akila , Tim Wirtz

Hidden Markov models (HMMs) are commonly used for disease progression modeling when the true patient health state is not fully known. Since HMMs typically have multiple local optima, incorporating additional patient covariates can improve…

Machine Learning · Statistics 2021-10-05 Matt Baucum , Anahita Khojandi , Theodore Papamarkou

We show how models for prediction with expert advice can be defined concisely and clearly using hidden Markov models (HMMs); standard HMM algorithms can then be used to efficiently calculate, among other things, how the expert predictions…

Machine Learning · Computer Science 2008-02-15 Wouter Koolen , Steven de Rooij

This paper proposes a generative model, the latent Dirichlet hidden Markov models (LDHMM), for characterizing a database of sequential behaviors (sequences). LDHMMs posit that each sequence is generated by an underlying Markov chain…

Machine Learning · Statistics 2013-05-27 Yin Song , Longbing Cao , Xuhui Fan , Wei Cao , Jian Zhang

Scripts have been proposed to model the stereotypical event sequences found in narratives. They can be applied to make a variety of inferences including filling gaps in the narratives and resolving ambiguous references. This paper proposes…

Computation and Language · Computer Science 2018-09-12 J. Walker Orr , Prasad Tadepalli , Janardhan Rao Doppa , Xiaoli Fern , Thomas G. Dietterich

Industrial processes generate a massive amount of monitoring data that can be exploited to uncover hidden time losses in the system. This can be used to enhance the accuracy of maintenance policies and increase the effectiveness of the…

Applications · Statistics 2025-08-27 Fernando Miguelez , Josu Doncel , Maria Dolores Ugarte

Many methods for automatic music transcription involves a multi-pitch estimation method that estimates an activity score for each pitch. A second processing step, called note segmentation, has to be performed for each pitch in order to…

Methodology · Statistics 2017-05-01 Dorian Cazau , Yuancheng Wang , Olivier Adam , Qiao Wang , Grégory Nuel

Hidden Markov Model (HMM) combined with Gaussian Process (GP) emission can be effectively used to estimate the hidden state with a sequence of complex input-output relational observations. Especially when the spectral mixture (SM) kernel is…

Machine Learning · Computer Science 2020-01-08 Yohan Jung , Jinkyoo Park